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9783642228650

Many Body Schrodinger Dynamics of Bose-Einstein Condensates

by
  • ISBN13:

    9783642228650

  • ISBN10:

    3642228658

  • Format: Hardcover
  • Copyright: 2011-08-31
  • Publisher: Springer Verlag
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Summary

At extremely low temperatures clouds of bosonic atoms form what is known as a Bose-Einstein condensate. Recently, it has become clear that many different types of condensates  -- so called fragmented condensates -- exist. In order to tell whether fragmentation occurs or not, it is necessary to solve the full many-body Schrödinger equation, a task that remained elusive for experimentally relevant conditions for many years. In this thesis the first numerically exact solutions of the time-dependent many-body Schrödinger equation for a bosonic Josephson junction are provided and compared to the approximate Gross-Pitaevskii and Bose-Hubbard theories. It is thereby shown that the dynamics of  Bose-Einstein condensates is far more intricate than what can be anticipated based on these approximations. A conceptual innovation of this thesis are optimal lattice models. It is shown how all quantum lattice models of condensed matter physics that are based on Wannier functions, e.g. the  Bose/Fermi Hubbard model, can be optimized variationally. This leads to exciting new physics.

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